I apologize to you for what I have done.
我為我的所作所為道歉。

apologize to sb for sth
因為..（向某人）道歉
I apologize for being late.
我為遲到道歉 。
I apologize for my rudness.
我為自己的粗魯道歉。
I apologize to her.
我向她道歉。
Why should I apologize?
我為什么要道歉？

A:Julia,I apologize to you for what I have done.Please forgive me.
茱莉婭，我為我的所作所為道歉。請你原諒我。
B:I've already forgiven you.Actually,I also owe you an apology.I was so rude to you that day.
我已經原諒你了。事實上，我也應該向你道歉。我那天對你那么粗魯。
A:It doesn't matter.I know that people are so easy to get mad when they're tired.
沒關系。我知道人們疲勞時很容易生氣。
B:Thanks for your understanding.
謝謝你的諒解。